 | Francis Henney Smith - Arithmetic - 1845 - 710 pages
...for any other number, we conclude, that the square of a number composed of tens and units contains the square of the tens, plus twice the product of the tens by the units, plus the square of the units. Q. Of what parts may every number be considered as composed... | |
 | Francis Henney Smith - Arithmetic - 1845 - 300 pages
...for any other number, we conclude, that the square of a number composed of tens and units contains the square of the tens, plus twice the product of the tens by the units, plus the square of the units. Q. Of what parts may every number be considered as composed... | |
 | Charles Davies - Arithmetic - 1846 - 370 pages
...AC is made up of the square AE, the two rectangles FE and EC, and the square ED. Hence, The square of two figures is equal to the square of the tens, plus twice the product of the tens by the units, plus the square of the units. Let it now be required to extract the square root of 1296.... | |
 | Charles Davies - Arithmetic - 1846 - 362 pages
...AC is made up of the square AE, the two rectangles FE and EC, and the square ED : Hence The square of two figures is equal to the square of the tens, plus twice the product of tlie tens Jy the units, plus the square of the units. Let it now be required to extract the square... | |
 | Charles William Hackley - Algebra - 1846 - 544 pages
...3714 tens, plus two units.) Now the square of the root sought, that is, the proposed number, contains the square of the tens, plus twice the product of the tens by the units, plus the square of the units. But the square of the tens must give at least hundreds... | |
 | Charles Davies - Arithmetic - 1847 - 368 pages
...AC is made up of the square AE, the two rectangles FE and EC, and the square ED. Hence, The square of two figures is equal to the square of the tens, plus twice the product of the tens by the units, plus the square of the units. Let it now be required to extract the square root of 1296.... | |
 | James Robinson (of Boston.) - 1847 - 304 pages
...tens ; hence, we infer that the second power of every number composed of tens and units must contain the square of the tens, plus twice the product of the tens multiplied by the units, plus the square of the units. We will now reverse the process of finding the... | |
 | Charles Davies - Algebra - 1848 - 302 pages
...and (a+4)2=(64)2; or Which proves that the square of a number composed of tens and units, contains the square of the tens plus twice the product of the tens by the units, plus the square of the units. 94. If, now, we make the units 1, 2, 3, 4, &c, tens, or... | |
 | Charles Davies - Arithmetic - 1850 - 412 pages
...AC is made up of the square AE, the two rectangles FE and EC, and the square ED. Hence, The square of two figures is equal to the square of the tens, plus twice the product of the tens by the units, plus the square of the units. Let it now be required to extract the square root of 1296.... | |
 | Charles Davies - 1852 - 344 pages
...3x6+3', and the sum is 32+2(3 x 6)+62 : that is, 3 + 6 3 + 6 32+3x6 3'+2(3x6)+6 H The square of a number is equal to the square of the tens, plus twice the product of the tens by the units, plus the square of the units. The same may be shown by the figure : Let the line AB re-... | |
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The square of two figures is equal to the square of the tens, plus twice the product of the tens by the units, plus the square of the units. 
